We fix a characteristic zero nonarchimedean base field \(K\)  of residue characteristic \(p > 0\) . Fix any prime \(\ell \) . In this section we explain a variant of the theory of Zariski-constructible sheaves with \(\mathbf {Z}_\ell \) -coefficients, using the formalismThe paper [1]} assumes that a prime number is topologically nilpotent in the base field \(K\) . This is the reason we assume that the residue characteristic \(p\)  of \(K\)  is \(> 0\) . Since we only use the relatively formal aspects of [1]}, we expect that this assumption can be removed once a theory of adic coefficients over nonarchimedean base fields of residue characteristic 0 has been developed. from [1]}.
